周期性多层有砟轨道结构的复能带分析及弹性波调控  

Complex Band Analysis and Elastic Wave Control of Periodic Multi-layered Ballasted Track Structure

作　　者：郭文杰 翟玉柳 罗文俊[1] 洪显 GUO Wenjie;ZHAI Yuliu;LUO Wenjun;HONG Xian(State Key Laboratory of Performance Monitoring and Protecting of Rail Transit Infrastructure,East China Jiaotong University,Nanchang 330013,China)

机构地区：[1]华东交通大学轨道交通基础设施性能监测与保障国家重点实验室,江西南昌330013

出　　处：《铁道学报》2025年第2期122-130,共9页Journal of the China Railway Society

基　　金：国家自然科学基金(52402425,52225210);江西省自然科学基金(20242BAB20234,20224BAB204069);江西省博士后择优资助项目(2021KY25);江西省教育厅科技项目(GJJ2200629)。

摘　　要：多层有砟轨道结构是典型的周期结构,研究其内弹性波传播与衰减特性对于轨道结构振动控制具有显著意义。建立周期性3层有砟轨道结构弹性波分析模型,提出一种基于虚拟弹簧模型和能量泛函变分原理的复能带特性求解方法。与既有研究结果对比,验证了本文方法的准确性,通过复能带分析揭示阻尼对弹性波传播与衰减的影响机理,阐明动力吸振器对轨道结构中弹性波的调控机制。研究为周期结构弹性波分析与调控提供新的求解思路及理论支撑。Multi-layered ballasted track structure is a typical periodic structure.It is of great significance to study the propagation and attenuation characteristics of its internal elastic waves for the vibration control of track structures.An elastic wave analysis model was established for a periodic three-layered ballasted track structure,with a solution method proposed for complex band characteristics based on virtual spring model and energy functional variational principle.The accuracy of the proposed method was verified by comparing with the existing literature results.The influence mechanism of damping on the propagation and attenuation of elastic waves was revealed using complex band structure analysis,while the regulation mechanism of dynamic vibration absorbers on elastic waves in track structures was clarified.The research provides a new solution and theoretical support for the analysis and regulation of elastic waves in periodic structures.

关 键 词：多层有砟轨道结构 复能带 带隙特性 弹性波 吸振器 

分 类 号：U213.2[交通运输工程—道路与铁道工程]